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New Types of Soliton Solutions
Author(s):
F.
Gesztesy;
W.
Karwowski;
Z.
Zhao
Journal:
Bull. Amer. Math. Soc.
27
(1992),
266-272.
MSC (1980):
Primary 35Q51, 35Q53;
Secondary 58F07
MathSciNet review:
1152159
Retrieve article in:
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References |
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Additional information
References:
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- P. A. Deift, Applications of a commutation formula, Duke Math. J. \textbf{45} (1978), 267--310. MR 495676
- [2]
- P. Deift and E. Trubowitz, Inverse scattering on the line, Commun. Pure Appl. Math. \textbf{32} (1979), 121--251. MR 512420
- [3]
- P. L. Duren, Theory of $H^p$ Spaces, Academic Press, New York, 1970. MR 268655
- [4]
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- [5]
- I. M. Gel\cprime fand and L. A. Dikii, Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations, Russian Math. Surveys \textbf{30:5} (1975), 77--113. MR 508337
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- [7]
- F. Gesztesy, W. Karwowski and Z. Zhao, Limits of soliton solutions, Duke Math. J. MR 1185820
- [8]
- H. Grosse, Quasiclassical estimates on moments of the energy levels, Acta Phys. Austriaca \textbf{52} (1980), 89--105. MR 584458
- [9]
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- [10]
- E. H. Lieb and W. E. Thirring, \emph{Inequalities for the moments of the eigenvalues of the Schr\"odinger Hamiltonian and their relation to Sobolev inequalities}, Princeton Univ. Press, Princeton, NJ, 1976 pp.~269--303. MR
- [11]
- F. Mantlik and A. Schneider, Note on the absolutely continuous spectrum of Sturm-Liouville operators, Math. Z. \textbf{205} (1990), 491--498. MR 1082870
- [12]
- U.-W. Schmincke, On Schr\"odinger{\rm '}s factorization method for Sturm-Liouville operators, Proc. Roy. Soc. Edinburgh Sect. A \textbf{80} (1978), 67--84. MR 529570
- [13]
- V. E. Zakharov and L. D. Faddeev, Kortreweg-de Vries equation{\rm :} A completely integrable Hamiltonian system, Funct. Anal. Appl. \textbf{5} (1971), 280--287. MR
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00309-9
PII:
S 0273-0979(1992)00309-9
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